• Title/Summary/Keyword: 선형방정식

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A systolic Array to Effectively Solve Large Sparce Matrix Linear System of Equations (대형 스파스 메트릭스 선형방정식을 효율적으로 해석하는 씨스톨릭 어레이)

  • 이병홍;채수환;김정선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.7
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    • pp.739-748
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    • 1992
  • A CGM iterative systolic algorithm to solve large sparse linear systems of equations is presented. For implementation of the algorithm, a systolic array using the stripe structure is proposed. The matrix A is decomposed into a strictly lower triangular matrix, a diagonal matrix, and a strictly up-per triangular matrix, and the two formers and the tatter· are concurrently computed by different linear arrays. Hence, the execution time of this approach Is reduced to half of the execution time of the that a linear array is used. computation of the Irregularly distributed sparse matrix can be executed effectively by using the stripe structure.

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Nonlinear Focusing Wave Group on Current (흐름의 영향을 받는 파랑 그룹의 비선형 집중)

  • Touboul, Julien;Pelinovsky, Efim;Kharif, Christian
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.222-227
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    • 2007
  • Formation of freak waves is studied in deep water from transient wave packets propagating on current. Those waves are obtained by means of dispersive focusing. This process is investigated by solving both linear and nonlinear equations. The role of nonlinearity is emphasized in this interaction.

Application of Equivalent Nonlinear Method to Nonlinear Rolling Motoion of Ships (등가 비선형화법 적용에 의한 선박의 비선형 횡동요 계산)

  • Kwon, Sun-Hong
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.92-98
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    • 1993
  • 불규칙 해상에서 선박의 큰 횡요각의 예측이 중요한 과제로 대두 되고 있다. 본 논문에서는 추계적 해석에 의한 이의 예측 방법을 제시한다. 즉, 주어진 비선형 횡요 운동 방정식으로 부터 배의 횡요각과 각속도의 확률 밀도 함수를 구하는 방법으로 평균화 법과 등가 비선형화 법을 적용하였고 각종 계수들의 값의 변화에 따른 예측 결과를 다른 논문에서 제시한 simulation 결과와 비교하였다.

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Computational Neural Networks (연산회로 신경망)

  • 강민제
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.1
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    • pp.80-86
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    • 2002
  • A neural network structure which is able to perform the operations of analog addition and linear equation is proposed. The network employs Hopfkeld's model of a neuron with the connection elements specified on the basis of an analysis of the energy function. The analog addition network and linear equation network are designed by using Hopfield's A/D converter and linear programming respectively. Simulation using Pspice has shown convergence predominently to the correct global minima.

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Derivation of Nonlinear Model for Irregular Waves on Miled Slpoe (비선형 불규칙 완경사 파랑 모델의 유도)

  • 이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.3
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    • pp.281-289
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    • 1994
  • An equation set of nonlinear model for regular/irregular waves presented in this study can be applied to waves travelling from deep water to shallow water, which is different from the Boussinesq equations. The presented equations completely satisfy the linear dispersion relationship and when expanded, they are proven to be consistent with the Boussinesq equation of several types. In addition, the position of averaged velocity below the still water level is estimated based on the linear wave theory.

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The Bridge Suspended by Cables and the History of Investigation of the Equation Induced from It (케이블에 의하여 매달려 있는 현수교 방정식의 발견과 연구의 흐름)

  • Nam Hyewon;Choi Q-Heung
    • Journal for History of Mathematics
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    • v.18 no.2
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    • pp.107-116
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    • 2005
  • A suspension bridge is an example of a nonlinear dynamical system, especially systems with the so called jumping nonlinearity. The fact that we deal with a serious and topical problem is demonstrated for example by the collapse of the Tacoma Narrow suspension bridge. So it would be very contributive to determine under what conditions a similar situation cannot occur and find out safe parameters of the bridge construction. In this paper, we show various possibilities how to model the behaviour of suspension bridge. Then we introduce our own results concerning existence and uniqueness of time-periodic solutions.

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A Study of Three Dimensional Numerical Analysis on Vacuum Consolidation

  • Chung, Youn ln
    • Geotechnical Engineering
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    • v.13 no.3
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    • pp.5-20
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    • 1997
  • A governing equation of uncoupled three dimensional finite strain theory of consolidation is presented. This equation is suitable for relatively thick layers, possessing large strain, non-linear material property, and variable permeability. A special numerical solution procedure has to be adopted for the finite difference scheme because the solution is not stable in using Forward-Time Centered-Space (FTCS) method and the governing equation is highly non-linear. The solution is capable of predicting settlement with respect to time. The results predicted by the developed method of analysis have been compared with those of experimental tests on different types of highly compressible soils with vertical wick drain. The uncoupled three dimensional finite strain theory of consolidation appears to predict settlement behavior well. A detailed comparison shows good agreement in terms of total settlement, and reasonable agreement with respect to time.

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A Numerical Computation of Viscous Flow around a Wigley Hull For with Appendages (부가물이 부착된 Wigley선형 주위의 점성유동 해석)

  • Park, J.J.;Park, S.S.;Lee, S.H.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.2
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    • pp.39-47
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    • 1997
  • In the present paper, viscous flow fields around a wigley hull with appendages are analysed to study interactions between the hull and appendages. Navier-Stokes and continuity equations are solved by a finite volume method in a body-fitted coordinate system which conforms three dimensional ship geometries with appendages. A Sub-Grid Scale(SGS) turbulent model is used for a calculation of high Reynolds number flow. Numerical computations has been done for a Wigley hull form at $Rn=1.0{\times}10^6$. The results show that the present approach can predict, at least in qualitative sense, the influence of the appendages upon the flow field around a ship.

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Numerical Analysis of Nonlinear Effect of Wave on Refraction and Diffraction (파의 굴절 및 회절에 미치는 비선형 효과에 대한 수치해석)

  • 이정규;이종인
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.1
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    • pp.51-57
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    • 1990
  • Based on second-order Stokes wave and parabolic approximation, a refraction-diffraction model for linear and nonlinear waves is developed. With the assumption that the water depth is slowly varying, the model equation describes the forward scattered wavefield. The parabolic approximation equations account for the combined effects of refraction and diffraction, while the influences of bottom friction, current and wind have been neglected. The model is tested against laboratory experiments for the case of submerged circular shoal, when both refraction and diffraction are equally significant. Based on Boussinesq equations, the parabolic approximation eq. is applied to the propagation of shallow water waves. In the case without currents, the forward diffraction of Cnoidal waves by a straight breakwater is studied numerically. The formation of stem waves along the breakwater and the relation between the stem waves and the incident wave characteristics are discussed. Numerical experiments are carried out using different bottom slopes and different angles of incidence.

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Simulation of Run-up of Tsunamis in the East Sea (동해의 지진해일 처오름 모의)

  • Kim, Jae-Hong;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.38 no.6 s.155
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    • pp.461-469
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    • 2005
  • A second-order upwind scheme is used to investigate the run-up heights of tsunamis in the East Sea and the predicted results are compared with the field data and results of a first-order upwind scheme. In the numerical model, the governing equations solved by the finite difference scheme are the linear shallow-water equations in deep water and nonlinear shallow-water equations in shallow water. The target events are 1983 Central East Sea Tsunami and 1993 Hokkaido Nansei Oki Tsunami. The predicted results represent reasonably well the run-up heights of tsunamis in the East Sea. And, the results of simulation are used for the design of inundation map.